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Pointwise Convergence


The hypothesis is that, for X is a measure space, f_n(x)->f(x) for each x in X, as n->infty. The hypothesis may be weakened to almost everywhere convergence.


See also

Almost Everywhere Convergence

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References

Browder, A. Mathematical Analysis: An Introduction. New York: Springer-Verlag, 1996.

Referenced on Wolfram|Alpha

Pointwise Convergence

Cite this as:

Weisstein, Eric W. "Pointwise Convergence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PointwiseConvergence.html

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